Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650b |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-595200 = -1 · 28 · 3 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
397535/23808 |
j-invariant |
L |
2.1626517878893 |
L(r)(E,1)/r! |
Ω |
1.3848104784133 |
Real period |
R |
0.78084756780844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200dc1 13950ci1 4650br1 |
Quadratic twists by: -4 -3 5 |